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Finding the Fourth Proportional to 741.55, 1,023.30 and 405.43

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Solution

The fourth proportional to 741.55, 1,023.30 and 405.43 is: 559.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.55 : 1,023.30 = 405.43 : x
  2. Step 2: Convert to fraction form
    741.55/1,023.30 = 405.43/x
  3. Step 3: Cross multiply
    741.55x = 1,023.30 × 405.43
  4. Step 4: Simplify right side
    741.55x = 414,876.52
  5. Step 5: Solve for x
    x = 414,876.52/741.55
  6. Step 6: Final answer
    x = 559.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.